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Finding the Fourth Proportional to 127,706.11, 191,558.10 and 47,764.24

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Solution

The fourth proportional to 127,706.11, 191,558.10 and 47,764.24 is: 71,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,706.11 : 191,558.10 = 47,764.24 : x
  2. Step 2: Convert to fraction form
    127,706.11/191,558.10 = 47,764.24/x
  3. Step 3: Cross multiply
    127,706.11x = 191,558.10 × 47,764.24
  4. Step 4: Simplify right side
    127,706.11x = 9,149,627,062.34
  5. Step 5: Solve for x
    x = 9,149,627,062.34/127,706.11
  6. Step 6: Final answer
    x = 71,645.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.